Certainly! To determine the place value of the digit 8 in the number 401.581, follow these steps:
1. Identify the digit and its position: In the number 401.581, the digit 8 is located in the tenths position, which is the first digit to the right of the decimal point.
2. Determine the place value: The place value of a digit in the tenths position is calculated by multiplying the digit by 0.1. Since the digit we are considering is 8, we multiply:
[tex]\( 8 \times 0.01 = 0.08 \)[/tex]
3. Result: The place value of the digit 8 in the number 401.581 is therefore 0.08.
So, the place value of the 8 in the number 401.581 is 0.08.